Lemniscate of Bernoulli
Plane algebraic curve
Lemniscate of Bernoulli
In geometry, the lemniscate of Bernoulli is a plane curve whose shape resembles the numeral 8 or the ∞ symbol. It can be defined from two given points F 1 {\displaystyle F_{1}} and F 2 {\displaystyle F_{2}} , called the foci, as the locus of points P {\displaystyle P} satisfying the relation | P F 1 | ⋅ | P F 2 | = c 2 , {\displaystyle |PF_{1}|\cdot |PF_{2}|=c^{2},} where the notation...
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